摘要
李寿佛 ,苏凯于 1995年构造了一类求解刚性常微分方程的并行多步混合方法 (PHM) [1] ,该方法在不降低计算速度的基础上 ,改善了同阶向后微分公式的稳定性 ;在此基础上将PHM作适当改进 ,构造了一类并行多值方法 。
In 1995,Li Shoufu and Su Kai constructed a class of parallel multistep hybrid methods (PHMs)for solving stiff differential equations,On the basis of not decreasing the computing speed,PHM improves the stability properities of Backward Differentiation Formulas of the same order.In this paper,by modifing PHM appropriately,we construct a class of parallel multivalue methods(PMMs)so as to improve the stability properities of PHM.
基金
国家自然科学基金资助课题
关键词
刚性微分方程
并行多值法
相容性
收敛性
stiff differential equations,general multivalue methods,parallel algorithm
